Combination of polynomial chaos and Kriging for reduced-order model of reacting flow applications

Results in Engineering

Axel Coussement¹  Giuseppe D’Alessio²  Alessandro Parente²  Gianmarco Aversano³  Francesco Contino³ 

[1] Corresponding author. Université Libre de Bruxelles, Aero-Thermo-Mechanics Departement, Avenue F.D. Roosevelt 51, CP 165/41, 1050, Brussels, Belgium;Université Libre de Bruxelles and Vrije Universiteit Brussel, Combustion and Robust Optimization Group (BURN), Brussels, Belgium;Université Libre de Bruxelles, Aero-Thermo-Mechanics Departement, Avenue F.D. Roosevelt 51, CP 165/41, 1050, Brussels, Belgium;

关键词: PCA;    Surrogate models;    Polynomial chaos;    Kriging;   

DOI  :  

来源: DOAJ

【 摘 要 】

The combination of Proper Orthogonal Decomposition (POD) with Kriging has been shown to be a reliable choice for the development of Reduced-Order Models (ROMs) for the prediction of combustion data at unexplored operating conditions. In this study, POD is combined with Polynomial Chaos Expansion (PCE), with a combination of PCE and Kriging (PC-Kriging) and with Artificial Neural Networks (ANN) for the development of a ROM that can predict 2D combustion data for unexplored operating conditions. The choice of Non-negative Matrix Factorization (NMF) instead of POD as compression method is also investigated. This method is chosen because it can intrinsically guarantee the non-violation of physical constraints such as positivity of chemical species mass fractions, although POD's data reconstruction errors are lower. The performances of the POD and NMF in combination with the proposed supervised methods are compared, with prediction normalized root mean squared errors (NRMSE) being less than 10% for spatial fields of temperature, CH4 and O2 for all approaches.

【 授权许可】

Unknown